Finding the Fourth Proportional to 2,584.48, 3,875.34 and 1,198.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.48 : 3,875.34 = 1,198.86 : x
2. Step 2: Convert to fraction form
   2,584.48/3,875.34 = 1,198.86/x
3. Step 3: Cross multiply
   2,584.48x = 3,875.34 × 1,198.86
4. Step 4: Simplify right side
   2,584.48x = 4,645,990.11
5. Step 5: Solve for x
   x = 4,645,990.11/2,584.48
6. Step 6: Final answer
   x = 1,797.65